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Irrotational vector fields, partially invariant with respect to group of rotations

✍ Scribed by S.V. Golovin

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
209 KB
Volume
72
Category
Article
ISSN
0021-8928

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✦ Synopsis

A geometrical description of three-dimensional irrotational vector fields which are partially invariant with respect to the SO(3) group of rotations is given. It is shown that the motion of a continuum, that satisfies the equation of continuity and is partially invariant with respect to SO(3), is necessarily rotational, that is, the curl of the velocity vector is non zero.

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